Requirements for trapped-ion based blind quantumcomputing with a measurement-only client

We numerically investigate hardware requirements for blind quantum

computing using an ion trap as server and a measurement-only client. While the

client has no direct access to quantum-computing resources, it can remotely execute

quantum programs on the server by measuring entangled photons that are emitted

by the ion trap. We introduce a numerical model for trapped-ion quantum devices in

NetSquid, a discrete-event simulator for quantum networks. Using this, we determine

the minimal hardware requirements and minimal improvements over the current state

of the art required to perform ε-secure verifiable blind quantum computing with a

universal resource for single-qubit rotations over 50 km of optical fiber. Current

state-of-the-art ion traps satisfy absolute minimal requirements on a per-parameter

basis, but all current imperfections combined make it impossible to perform the blind

computation securely over 50 km using existing technology. Using a genetic algorithm

we determine the set of hardware parameters that minimizes the total improvements

required, laying a path for the near-term experimental progress required to realize a

trapped ion-based quantum internet.